IMI/Publicaţii/BASM/Ediţii/BASM n.4 (10), 1992/

Derivation of nontrivial subgroups and minimal systems of generators of point crystallographic groups by means of a computer. (Russian)

Authors: Zabolotnyj P. A., Peretyatkov S. M.


This article deals with the formalization of some problems connected with those 32 crystallographic groups. This method enables us to solve these problems with the help of the computer. The article contains concrete examples of such problems, the corresponding algorithms are built, the results obtained with the help of the computer are described.